A Gentle Introduction to Slopes and Tangents

The slope of a line, and its relationship to the tangent line of a curve is a fundamental concept in calculus. It is important for a general understanding of function derivatives.

In this tutorial, you will discover what is the slope of a line and what is a tangent to a curve.

After completing this tutorial, you will know:

  • The slope of a line
  • The average rate of change of f(x) on an interval w.r.t. x
  • The slope of a curve
  • The tangent line to a curve at a point

Let’s get started.